# Problem of the Week

## Updated at May 4, 2015 3:53 PM

This week we have another calculus problem:

How can we solve for the derivative of $${e}^{x}-\csc{x}$$?

Let's start!

$\frac{d}{dx} {e}^{x}-\csc{x}$

 1 Use Sum Rule: $$\frac{d}{dx} f(x)+g(x)=(\frac{d}{dx} f(x))+(\frac{d}{dx} g(x))$$.$(\frac{d}{dx} {e}^{x})-(\frac{d}{dx} \csc{x})$2 The derivative of $${e}^{x}$$ is $${e}^{x}$$.${e}^{x}-(\frac{d}{dx} \csc{x})$3 Use Trigonometric Differentiation: the derivative of $$\csc{x}$$ is $$-\csc{x}\cot{x}$$.${e}^{x}+\csc{x}\cot{x}$Donee^x+csc(x)*cot(x)